Download WORKSHEET – DOMAINS AND RANGES OF RELATIONS AND

Name: _________________________________________
Per: _______Date: ___________________
WORKSHEET – DOMAINS AND RANGES OF
RELATIONS AND FUNCTIONS
Part 1 – Identify Domains, Ranges, and Functions. Identify the domain and range of
each relation given below. Then determine if the relation represents a function.
Record your answers in the appropriate spaces provided for each problem.
1. {(2, 3), (-1, 5), (0, -1), (3, 5), (5, 0)}
Domain: ___________________________
Range: ____________________________
Function:
2.
yes
no
x
2
4
5
9
y
-2
0
2
4
3.
x
-3
1
3
5
y
0
1
2
3
Domain: _________________________
Domain: ____________________________
Range: __________________________
Range: _____________________________
Function:
Function:
yes
no
4.
yes
no
5.
Domain: _________________________
Domain: ____________________________
Range: __________________________
Range: _____________________________
Function:
Function:
yes
no
yes
no
Function Concepts/WS Intro to Relations and Functions
Name: _________________________________________
Per: _______Date: ___________________
Part 2 – Different Representations. Read each problem carefully and perform the
indicated task. Also, for each problem, determine if the relation given represents a
function and record your answers in the appropriate spaces provided for each
problem.
6. Rewrite the relation given to the right as a set of
ordered pairs.
Answer:
_________________________________________
Function:
yes
no
7. Graph the relation given below on the coordinate plane to the right.
x
y
Function:
-5
-4
yes
-4
-2
-3
-1
0
0
3
-1
4
-2
5
-4
no
8. Construct a mapping diagram in the space below to represent the following set of ordered pairs.
(2, -1), (3, 2), (5, 4), (3, -1), (6, 5)
Mapping diagram:
Function:
yes
no
9. Create a table that is equivalent to the relation graphed on the
coordinate plane to the right.
Table:
Function:
yes
no
Function Concepts/WS Intro to Relations and Functions
Name:
Date:
Function Tables
Directions: Complete the following tables. If the x value is given, evaluate
the function to find y. If y is given, work backwards to find x. If there is
no value for x or y, use your own value for x to find y. SHOW ALL WORK!
1.
3.
f (x) = x +1
X
Work
Y
f (x) = 2x − 3
X
8
-2
-1
-1
2
0
0
1
2.
4.
f (x) = 3x
X
Work
Y
Work
Y
f (x) = x² + 2
X
0
4
1
2
2
0
3
-2
Work
Y
5.
X
x
f (x) = +1
2
Work
8.
f (x) = x³ − 2
X
Y
Work
Y
0
2
4
f (x) = x  1
6.
X
Work
f (x) = x  1
9.
Y
X
Work
Y
5
-1
1
0
7.
X
x
f (x) = 2  1
Work
10.
Y
X
0
-3
1
0
2
3
3
f (x) =
x
3
Work
Y